Find the Value of the Chi-Square Test Statistic for the Goodness-Of-Fit

question 25

Multiple Choice

Find the value of the chi-square test statistic for the goodness-of-fit test.
-You wish to test the claim that workplace accidents are distributed on workdays as follows: Monday: 25\%, Tuesday: $15 \%$ , Wednesday: $15 \%$ , Thursday: $15 \%$ , Friday: $30 \%$ . In a study of 100 workplace accidents, 24 occurred on a Monday, 15 occurred on a Tuesday, 13 occurred on a Wednesday, 14 occurred on a Thursday, and 34 occurred on a Friday. What is the value of the $\chi ^ { 2 }$ test statistic? The observed frequencies and the expected frequencies are shown below.
$\begin{array}{r|c}\begin{array}{r}\text { Observed } \\\text { Frequency }(\mathrm{O}) \end{array} & \begin{array}{r}\text { Expected } \\\text { Frequency (E) }\end{array} \\\hline 24 & 25 \\15 & 15 \\13 & 15 \\14 & 15 \\34 & 30\end{array}$

• A)\(\chi ^ { 2 } = 7.333\)
• B) \(\chi ^ { 2 } = 0.907\)
• C) \(\chi ^ { 2 } = 0.891\)
• D) \(\chi ^ { 2 } = 3.143\)

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Definitions:

Predictable Variability

The expected fluctuations in demand or supply that can be anticipated and planned for based on historical data or trends.

Cost of Goods Sold

An accounting term representing the direct expenses related to the production of the goods sold by a company, including materials and labor.

Total Revenue

The total income generated from the sale of goods or services before any expenses are subtracted.

Net Receivables

This refers to the total money owed to a company by its customers after allowances for returns, bad debts, and other deductions have been made.